Information on Result #547845
There is no linear OA(4100, 238, F4, 70) (dual of [238, 138, 71]-code), because construction Y1 would yield
- OA(499, 138, S4, 70), but
- the linear programming bound shows that M ≥ 118246 438673 063111 509987 411413 863923 581254 775008 190429 184491 048612 519959 485941 226484 592604 610560 / 288411 558856 539326 726871 768616 117917 > 499 [i]
- linear OA(4138, 238, F4, 100) (dual of [238, 100, 101]-code), but
- discarding factors / shortening the dual code would yield linear OA(4138, 226, F4, 100) (dual of [226, 88, 101]-code), but
- residual code [i] would yield OA(438, 125, S4, 25), but
- the linear programming bound shows that M ≥ 389 567034 474678 876680 715278 147118 516148 790886 400000 / 5089 117647 497197 040645 830161 > 438 [i]
- residual code [i] would yield OA(438, 125, S4, 25), but
- discarding factors / shortening the dual code would yield linear OA(4138, 226, F4, 100) (dual of [226, 88, 101]-code), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.